Question

How do you find the domain of `sqrt(x + 5)`?

Answer 1

`x in RR,x>=-5`

Explanation:

`"the expression inside the radical must be greater than"`
`"or equal to zero"`

`"solve "x+5>=0" for domain"`

`"subtract 5 from both sides"`

`xcancel(+5)cancel(-5)>=0-5`

`rArrx>=-5`

`"domain is "x in RR,x>=-5`

`[-5,+oo)larrcolor(blue)"in interval notation"`
graph{sqrt(x+5) [-10, 10, -5, 5]}